Finding the Fourth Proportional to 2,659.50, 3,669.84 and 1,464.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,659.50 : 3,669.84 = 1,464.48 : x
2. Step 2: Convert to fraction form
   2,659.50/3,669.84 = 1,464.48/x
3. Step 3: Cross multiply
   2,659.50x = 3,669.84 × 1,464.48
4. Step 4: Simplify right side
   2,659.50x = 5,374,407.28
5. Step 5: Solve for x
   x = 5,374,407.28/2,659.50
6. Step 6: Final answer
   x = 2,020.83